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Finding the Fourth Proportional to 10,449.36, 14,358.78 and 8,349.84

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Solution

The fourth proportional to 10,449.36, 14,358.78 and 8,349.84 is: 11,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.36 : 14,358.78 = 8,349.84 : x
  2. Step 2: Convert to fraction form
    10,449.36/14,358.78 = 8,349.84/x
  3. Step 3: Cross multiply
    10,449.36x = 14,358.78 × 8,349.84
  4. Step 4: Simplify right side
    10,449.36x = 119,893,515.60
  5. Step 5: Solve for x
    x = 119,893,515.60/10,449.36
  6. Step 6: Final answer
    x = 11,473.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.